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atroni [7]
3 years ago
5

I dont know how to divide a line segment.

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.

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A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30­° to the base of the pyramid. What is
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Answer:

(1) 13.86 units.

(2) 1182.72 cubic units.

Step-by-step explanation:

Please find the attachment.

We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30­° to the base of the pyramid.

(1) We can find height of pyramid using tan.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

The length of opposite side will half the length of square base.

\frac{16}{2}=8

\text{tan}(30^{\circ})=\frac{8}{h}

h=\frac{8}{\text{tan}(30^{\circ})}

h=13.8564064605420367

h\approx 13.86

Therefore, the height of the pyramid will be 13.86 units.

(2). We know that volume of pyramid is 1/3 the product of base area and height.

V=\frac{1}{3}*bh

V=\frac{1}{3}*16*16*13.86

V=\frac{1}{3}*3548.16

V=1182.72

Therefore, the volume of the pyramid would be 1182.72 cubic units.

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4 years ago
On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 50º. What is the measure of the thi
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I NEED HELP ASAP PLEASEEEE <br>Evaluate the expression for m = –38. <br>–23(m + 39) =
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Answer: -23

Step-by-step explanation:

Since we are given the value of m, all we have to do is to plug m into the expression and solve.

-23(-38+39)                  [parenthesis]

-23(1)                            [multiply]

-23

Now, we know that the expression is -23 when m=-38.

6 0
4 years ago
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If
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Answer:

The answer is 70 feet

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • The area of therectangular billboard covered by the ribbon was approximately 4200 square feet
  • The width of the billboard was approximately 60 feet.
<h3><u>To </u><u>Find</u>;</h3>
  • The height of this billboard = ?
<h3><u>Formula</u>;</h3>
  • Area = Width × Height

Here, We know the area so,

Area = Width × Height

Height = Area ÷ Width

H = 4200 ÷ 60 feet

H = 70 feet

Thus, The height of the billboard is 70 feet

 

<u>-TheUnknownScientist 72</u>

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